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Finding the Fourth Proportional to 397.26, 595.13 and 354.87

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Solution

The fourth proportional to 397.26, 595.13 and 354.87 is: 531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.26 : 595.13 = 354.87 : x
  2. Step 2: Convert to fraction form
    397.26/595.13 = 354.87/x
  3. Step 3: Cross multiply
    397.26x = 595.13 × 354.87
  4. Step 4: Simplify right side
    397.26x = 211,192.01
  5. Step 5: Solve for x
    x = 211,192.01/397.26
  6. Step 6: Final answer
    x = 531.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.